England women's goalkeeper Rachel Brown-Finnis says that emails sent by Premier League chief executive Richard Scudamore are an "insult to all women".
Scudamore apologised for sexist comments made in emails after details were revealed by the Sunday Mirror.
Edward Lord, Football Association anti-discrimination adviser, said Scudamore's role looked "untenable".
"It's not just about women who are involved in football, it was an insult to all women," said Brown-Finnis.
"However jokey he was trying to be with that, it's just totally unacceptable in this day and age."
Prior to publication of the newspaper story, Scudamore wrote to club chiefs asking them to "judge" if they believed the content was "sexist and inappropriate".
Lord said that letter "completely undermines his apology".
Lord's comments were followed up by networking group, Women In Football, who have written to the acting Premier League chairman, all 20 Premier League clubs and the league's main sponsors asking for an "independent review" of the league's practices.
The letters are endorsed by the football anti-racism and discrimination charity Kick It Out and add that "an apology is not enough".
A Premier League panel will meet on Monday to decide whether Scudamore should face action.
Everton goalkeeper Brown-Finnis, who has 82 England caps, told BBC Sport: "It's zero defence for me. Private emails when are you head of the Premier League don't really exist.
"Is a sorry enough? Probably not, but I do think the way to move forward is for the Premier League to follow their protocols just like they would with other employees and I'm sure they have policies which would sanction him appropriately for his misconduct."
The FA's IAB is also set to meet to discuss the issue, although FA chairman Greg Dyke, who has described the emails as "totally inappropriate", said his organisation will not take disciplinary action as the comments were made privately.
Premier League sponsors Nike said the issue over the sexist emails was a "matter between Mr Scudamore and the Premier League".
BBC Sport has learned that title sponsors Barclays have made their views known to the organisation and have expressed their disappointment over the nature of the comments.
Scudamore's emails were seen by a former temporary PA, who leaked them to a national newspaper.
In a statement on Sunday, Scudamore said the exchanges were "private emails exchanged between colleagues and friends of many years" that should not have been accessed by the temporary employee.
He accepted they were inappropriate and added: "It was an error of judgment that I will not make again."
Meanwhile, the lawyer who exchanged the emails with Scudamore is being investigated by his firm, it was revealed on Friday.